Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture?

Answer: 3x - 78

Step-by-step explanation:

Profit or loss is gotten when the cost is subtracted from the revenue. In this situation, the revenue is given as $78.

Let the total number of candy bars bought be x. Since they are sold at $3 each, all the candy bars will cost 2x.

Profit/Loss = Revenue - Cost

= 3x - 78

If we get a negative value, that's a loss and a positive value denotes profit

Answer:

8 pencil for 1.25 because you save more money.

Step-by-step explanation:

Answer:

8 pencils is a better buy

Step-by-step explanation:

at 8 pencils for 1.25, each pencil costs about 16 cents and at 12 pencils for 2.00, each costs about 17 cents

Answer:

Step-by-step explanation:

Input Data :

Point 1

(

x

A

,

y

A

)

= (0, 2)

Point 2

(

x

B

,

y

B

)

= (8, 8)

Objective :

Find what is a midpoint of a line segment?

Solution :

Midpoint  

(

x

M

,

y

M

)

=

(

x

A

+

x

B

2

,

y

A

+

y

B

2

)

=

(

0

+

8

2

,

2

+

8

2

)

=

(

8

2

,

10

2

)

Midpoint of a line segment  

(

x

M

,

y

M

)

= (4, 5)

hope that help

mark me brill

Answer:

-7

Step-by-step explanation:

-2 - 5 is -7

Answer:

-7

Step-by-step explanation:

?+5=-2

  -5   -5

?=-7

Answer:

x = 3 + 7i   or   x = 3 - 7i; a = 3; b = 7

Step-by-step explanation:

x^2 - 6x = -58

We complete the square by adding the square of half of the coefficient of the x-term to both sides.

x^2 - 6x + 9 = -58 + 9

(x - 3)^2 = -49

[tex] x - 3 = \pm 7i [/tex]

x = 3 + 7i   or   x = 3 - 7i

a = 3; b = 7

The required value of a and b for the solution of the given equation is 3 and 7 respectively.

Given that,
To determine the solutions of this quadratic equation x² - 6x= -58 and Substitute the values of a and b to complete the solution.
x= a+bi
x=a -bi​

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given equation,
x² - 6x= -58

Completing the square of the above equation by adding and subtracting the square of the half of the coefficient of x.
x² - 6x + 9 - 9 = -58
(x - 3)² = -58 + 9
(x - 3)² = -49
x - 3 = √-49
x - 3 = ±7i
x = 3 ±7i
Now,
The required
a + bi = 3 + 7i
a - bi = 3 - 7i

Thus the required value of a and b for the solution of the given equation is 3 and 7 respectively.

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Answer:

48.5 us cups

Step-by-step explanation:

Answer:

48 cups 4 fluid ounces. (us)

Step-by-step explanation:

Answer:

I need Help on this one too.

Step-by-step explanation:

Answer:

8/12 or 3/4 of a mile

Step-by-step explanation:

Answer:

H maybe

Step-by-step explanation:

Answer:

rrrrrrrrrrrrrrrrergergrgrg

Step-by-step explanation:

rgrgrgrgregr

wdd

piuoliuylili

Answer:

the vertex is (-5,1)

Step-by-step explanation:

hoped I helped:)

Answer:

242

Step-by-step explanation:726 divid by 3 is 242

Answer:

60

Step-by-step explanation:

Given that :

Total crop on corn plot = 1500

Total on soya bean plot = 3000

Total on grass plot = 500

Total plants = 5000

A Stratified sample of 200 corn plants is to be selected ;

Number of samples he takes from each plot:

Percentage of number of samples :

x% of 5000 = 200

0.01x * 5000 = 200

50x = 200

x = 200/50

x = 4%

Hence, number of plants to be selected from corn plot :

4% of 1500

0.04 * 1500

= 60

Answer:

2/3<5/6

Step-by-step explanation:

The least common denominator (LCD) is: 6.

4/6 < 5/6

Therefore, comparison shows:

2/3 < 5/6

Answer:

56/45 or 1 11/45

Step-by-step explanation:

change to improper fractions and multiply the first by the reciprocal of the second

[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{15}{4}[/tex]  =  [tex]\frac{14}{3}[/tex] · [tex]\frac{4}{15}[/tex]  =  [tex]\frac{56}{45}[/tex]

45 goes into 56 1 time with a remainder of 11

Answer:

56 /33     Decimal: 1.69697)

Step-by-step explanation:

hope it helps

Answer:

I think its B

Step-by-step explanation:

Answer:

60 degrees and 100 degrees

Step-by-step explanation:

360 - (190 + 10) = sum of other two angles

360 - 200 = 160

160/(3+5) = 160/8 = 20

20 × 3 = 60 degrees, 20 × 5 = 100 degrees

Answer:

Step-by-step explanation:

Gary need 60 dollars, but he saved only 45%

60*(45/100)=27

he saved only 27 dollars

Answer:

2x-6y+14

This expression will simplify back to x-3y+7

Answer:

y= 1/3x-7/3

Step-by-step explanation:

We have: x-3y+7

There are many equivalent expressions we can create, but let's write this equation in slope- intercept form.

First step is to rearrange the terms: -3y=-x+7

But we are not done yet; now we divide both sides with -3: y=1/3x-7/3

(The negatives cancel out, which is why we get a positive 1/3)

Answer:

their are different sizes of soup bowls

Answer:

i dont know HI its Prepaid Single Phone Plan $45 for 16 GB

Answer:

Prepaid Single Phone Plan $45 for 16 GB

Step-by-step explanation:

Answer:

Perimeter ≈ 61.68, Area ≈ 226.08

Step-by-step explanation:

The original equations for a regular circle are as follows:

Circumference = 2πr

Area = πr^2

With these in mind, let us continue. We must first find the Circumference and Area of a circle with this radius. To do this we plug in the radius which we can derive from taking the length of the semi-circle. Dividing 24/2 will give us 12 which is the radius. Evaluating both equations with r = 12 and π = 3.14 will give us Area = 452.16 and Circumference = 75.36. Great, we now have the values we need. However, this is for a full circle, and we are trying to solve for a semi-circle. To resolve this, all we have to do is divide the Area by 2 and that will give us half of that circle (the semi-circle). For the Circumference, we divide by 2 as well, but we also must add the diameter which is 24 giving us 226.08, and 61.68 respectively.

Answer:

3 5^2

Step-by-step explanation:

it is 3 5^2 be cause if you do 3 x 25 or 5 x 15 or 1 x 75 that would =75

Answer:

you have a 1/5 chance of choosing a red marble.

Step-by-step explanation:

Answer:

Your probability of choosing  a red marble is 30%

Step-by-step explanation:

You'll need to start by adding all the marble's which will give you 100.

30 + 50 + 20 = 100

Then add up the non-red marbles, which is 70.

50 + 20 = 70

30 red marbles are left.

Now, you'll have the fraction 30 over 100.

As a percentage that would be 30%

Answer:

[tex](a):\ y = \frac{x + 3}{7}[/tex] --- Function

[tex](b):[/tex] Not a function

[tex](c):[/tex] A function

Step-by-step explanation:

Given

See attachment

Required

Determine if each relation is a relation or not

A function is represented as: [tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}[/tex]

Where

[tex]x = domain[/tex] and [tex]y = range[/tex]

For a relation to be a function:

No x value (in other words, the domain) must be repeated

[tex](a):\ y = \frac{x + 3}{7}[/tex]

The above relation is a function. This is so because every unique value of x have a unique value of y.

In other words:

No two domains exist for a range

Conclusively, it is a one-to-one function

[tex](b):[/tex]

[tex]\begin{array}{ccccc}x & {-2} & {-2} & {1} & {3} \ \\ y & {-5} & {-1} & {3} & {7} \ \ \end{array}[/tex]

In the above table, we have:

[tex](x_1,y_1) = (-2,5)[/tex] and [tex](x_2,y_2) = (-2,-1)[/tex]

The domain (-2) points to range (5 and -1).

Based on the condition that no two domain should point to the same range, we can conclude that this is not a function.

[tex](c):[/tex]

[tex]\begin{array}{ccccc}x & {-3} & {-1} & {1} & {3} \ \\ y & {-4} & {-4} & {2} & {2} \ \ \end{array}[/tex]

In the above table, we have the domain to be:

[tex]x = \{-3,-1,1,3\}[/tex]

We can see that no x value is repeated.

Hence, this is a function.

Answer:

$200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

$250 - $50 = $200

Answer:

D - 240 miles

Step-by-step explanation:

. because if you if you multiply 60 x 4 it would be 240.

Answer:

A=$2100

B=$1400

Step-by-step explanation:

3500*1.06=3710

a+b=3500

1.05a+1.075b=3710

1.05a+1.05b=3675

1.05a+1.075b=3710

Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710

0.025b=35

b=1400

a=3500-1400=2100

Double check: (2100*1.05)+(1400*1.075)=3710

3500*1.06=3710

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 ----- equation 1

a + b = $3,500   -------- equation 2

Where:

a is the amount invested in the account that paid a 5% interest.

b is the amount invested in the account that paid a 7.5% interest.

The amount invested in the account that pays a 7.5% interest.

In order to determine this value, multiply equation 2 by 0.05

0.05a + 0.05b = 175  ------- equation 3

0.025b = 35

b = $1400

The amount invested in the account that pays a 5% interest.

a + $1400 = $3500

a = $3500 - 1400

a = $2100

Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

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Answer:

X=2

Step-by-step explanation:

Answer:

837.23 cm³

Step-by-step explanation:

La fórmula para el volumen de un prisma pentagonal se da como:

1/2 (5 s × a) × h

Dónde:

s = longitud lateral

a = Apotema

h = altura

De la pregunta anterior:

s = largo de lado = 6.1 cm

a = Apotema = 4.5 cm

h = Altura = 12.5 cm

Por lo tanto:

El volumen del prisma pentagonal =

1/2 (5 × 6.1 × 4.5) × 12.5

= 1/2 × 137.25 × 12.5

= 837.225 cm³

Aproximadamente = 837.23 cm³